Iterative reconstruction of the wave speed for the wave equation with bounded frequency boundary data

We study the inverse boundary value problem for the wave equation using measurements of waves emitted by band-limited boundary sources as the data. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites f...

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Bibliographic Details
Published in:Inverse problems 2016-02, Vol.32 (2), p.25008-25028
Main Authors: Datchev, Kiril, Hoop, Maarten V de
Format: Article
Language:English
Subjects:
Boundaries
Boundary value problems
Emittance
Inverse
inverse boundary value problems
Inverse problems
Landweber iteration
Mathematical analysis
Optimization
resolvent estimates
wave equation
Wave equations
wave speed reconstruction
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Summary:We study the inverse boundary value problem for the wave equation using measurements of waves emitted by band-limited boundary sources as the data. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites for the application of steepest descent and Newton-type iterative methods.
ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/32/2/025008